Question

A regular hexagon has an area of 750.8 cm. The side length is 17 cm. Find the apothem.

Answer 1

48 I think

Answer 2

@AllieBear0723 @WolfMaster

Answer 3

A.
7.4 cm
B.
14.7 cm
C.
21.5 cm
D.
88.3 cm

Answer 4

A regular hexagon can be split up into six equilateral triangles, so the area of one triangle is a sixth of the hexagon's area.
\[A_\Delta=\frac{1}{6}(750.8\text{ cm}^2)=125.1\text{ cm}^2\]
Since the area of a triangle is half the base times the height,
\[125.1\text{ cm}^2=\frac{1}{2}(17\text{ cm})a\]
Solve for \(a\).